Question

The article "The Influence of Temperature and Sunshine on the AlphanAcid Contents of Hops"'l' reports the followmg data on yield (y), mean temperature overthe period between date of Coming into hops and date of picking (x1). and mean percentage of sunshine during the same period (x2) for the Fuggle variety of hop: x1 16.7 17.4 18.4 16.8 18.9 17.1 17.3 18.2 21.3 21.2 20.7 18.5 y 210 110 103 103 91 76 73 70 68 53 45 31 Use the following R Code to complete the regression analysis: x1 : c(1s.7,17.4,1e.4,16.a,1a9,17.1,173,18.2,213,212,201,185) x2 : c(30,42,47,47,43,41,48,44,43,50,56,60) y = c(210,110,103,103,91,76,73,70,68,53,45,31) mod : lm(y~x1+x2) summarylmod) (a)Accorijing to the output, what is the least squares regression equation? = p0+b1x1+bzx2: (Round each value to 3 decimal places.) i7=l |+l lxi+l IX2 (b) What IS the estimate for a? s : l: (Hint: This is referred to as the residual standard errorin R output) (c) According to the model what is the predicted value fory when x1 : 16.7 and x2 : 30 and what is the corresponding residual? (Round your answers to four decimal places.) it Residual: y n (d) Test H0: 31 : E2 : 0 versus Ha: either E1 or 2 at 0. From the output state the test statistic and the p-yalue. Round your test stat to one decimal place and your p-value to 4 decimal places.) e: State the conclusion in the problem context. 0 There is moderately suggestive evidence at least one of the explanatory variables is a signicant predictor of the response. 0 There is no suggestive evidence at least one of the explanatory variables is a significant predictor of the response. 0 There is conyincing evidence at least one of the explanatory variables is a significant predictor of the response. 0 There is slightly suggestive evidence at least one of the explanatory variables is a signicant predictor of the response. (e) The estimated standard deviation of? when x1 2 16.?r and x2 2 30 is s? 2 17.05. Use this to obtain the 95% CI for My. 15.7! 30. (Round your answers to two decimal places.) (:.:) (f) Use the information in parts (b) and (e) to obtain a 95% PI for yield in a future experiment when x1 = 16.7 and X2 = 30. (Round your answers to two decimal places.) (:.:) (9) Given that x2 is in the model, would you retain x1? 0 Yes, there is evidence this factor is significant. It should remain in the model. 0 No, there isn't evidence this factor is significant. It should be dropped from the model